Opgave_100.pdf - Opgave 100 1 a Sammenhængen mellem...

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Opgave 100 a) Sammenhængen mellem højden og tiden er = 1 2 𝑔𝑔𝑡𝑡 2 . Højden er den målte størrelse så reaktionstiden er 𝑡𝑡 = 2ℎ 𝑔𝑔 . b) Fejlophobningsloven siger at 𝛿𝛿𝑡𝑡 = 𝜕𝜕𝜕𝜕 𝜕𝜕ℎ 𝛿𝛿ℎ� 2 + 𝜕𝜕𝜕𝜕 𝜕𝜕𝑔𝑔 𝛿𝛿𝑔𝑔� 2 . De to partielle afledede er 𝜕𝜕𝜕𝜕 𝜕𝜕ℎ = 1 �2𝑔𝑔ℎ og 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕 = 1 √2 √ℎ 𝑔𝑔 𝑔𝑔 . Vi får derfor den endelige formel for usikkerheden på reaktionstiden til at være
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  • Spring '19

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